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**Question:**

A professor recorded three statistics exam scores and other variables for 20 students in her statistics course. There are seven variables in this data set: (1) ID number, (2) Sex, (3) Study Place, and (4) Hours of Work, (5) Exam 1 score, (6) Exam 2 score, and (7) Exam 3 score.

· Sex (1 = Males, 2 = Females)

· Study_Place ("Where do you study the most frequently for this class?"

1 = My room, 2 = Library, 3 = Coffee shops, 4 = others)

· Work_Hour ("On average, how many hours do you spend for job-related tasks?")

**Problem #1** :

Calculate the z score of the average exam score for each case.

a. Show me the scores on all9variables (the original 7 variables, the mean exam score, and its z score) for the first 5cases.

b. What is the z score of mean exam for ID #1? Interpret his z score?

c. Get the mean and SD of the z scores. Review the output; can you locate the mean and SD of the z score distribution? What are the values?

**Problem #2**

a. Calculate the mean and standard deviation (SD) of the mean exam score separatelyby study place.

b. Construct a bar-graph for study place. The **X-axis represents Study Place and the Y-axis represents MEAN exam score. **

c. Review the output from 4-a and 4-b. What conclusion can you draw from them? (for example, "Would the location of study be related to average exam score?")

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